任意倾角的共轨运动研究  

On the Co-orbital Motion of Any Inclination

作　　者：鲁瑞 雷汉伦[1,2] 周礼勇 LU Rui;LEI Han-lun;ZHOU Li-yong(School of Astronomy and Space Science,Nanjing University,Nanjing 210023;Key Laboratory of Modern Astronomy and Astrophysics,Ministry of Education,Nanjing 210023)

机构地区：[1]南京大学天文与空间科学学院,南京210023 [2]现代天文与天体物理教育部重点实验室,南京210023

出　　处：《天文学报》2023年第5期10-21,共12页Acta Astronomica Sinica

基　　金：国家自然科学基金项目(11933001、12150009);科技部重点研发项目(2019YFA0706601)资助。

摘　　要：共轨运动天体与摄动天体的半长径相同,处于1:1平运动共振中.太阳系内多个行星的特洛伊天体即为处于蝌蚪形轨道的共轨运动天体,其中一些高轨道倾角特洛伊天体的轨道运动与来源仍未被完全理解.利用一个新发展的适用于处理1:1平运动共振的摄动函数展开方式,对三维空间中的共轨运动进行考察,计算不同初始轨道根数情况下共轨轨道的共振中心、共振宽度,分析轨道类型与初始轨道根数的关系.并将分析方法所得结果与数值方法的结果相互比较验证,得到了广阔初始轨道根数空间内共轨运动的全局图景.The co-orbital motion occurs when a celestial body(e.g.an asteroid)shares the same semimajor axis with the perturbing object(e.g.a planet),and thus they are in a l:1 mean motion resonance.Trojan asteroids in the tadpole orbits around planets in the Solar System are these co-orbital objects.The motion and origin of some Trojan asteroids,particularly those on high-inclination orbits,are still not fully understood.In this paper,a newly developed perturbation function expansion,which is applicable to the 1:1 resonance,is used to investigate the co-orbital motion in three-dimensional space.The position of the resonance center and the resonance width are calculated for different initial orbital elements,and the relationship between the orbital types and the initial orbital elements is analyzed.The results obtained by the analytical method are compared with and verified by the results from numerical simulations.A panorama of the co-orbital motion in the wide orbital elements space is obtained.

关 键 词：天体力学:圆型限制性三体问题 方法:分析与数值 共轨 

分 类 号：P134[天文地球—天体力学]